Search a number
-
+
30369554062848 = 2935711134353107
BaseRepresentation
bin1101110011110111101100…
…11110110101111000000000
310222112022010102212021100000
412321323312132311320000
512440033321320002343
6144331325221200000
76253061601163110
oct671736636657000
9128468112767300
1030369554062848
119749723599220
1234a59a6260000
1313c3ab51abb60
1476dc73bc3040
15379ead85ded3
hex1b9ef67b5e00

30369554062848 has 3840 divisors, whose sum is σ = 128424084332544. Its totient is φ = 6912672399360.

The previous prime is 30369554062823. The next prime is 30369554062849. The reversal of 30369554062848 is 84826045596303.

30369554062848 is a `hidden beast` number, since 3 + 0 + 3 + 6 + 9 + 5 + 540 + 6 + 2 + 84 + 8 = 666.

It is a super-2 number, since 2×303695540628482 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30369554062849) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 283827608011 + ... + 283827608117.

Almost surely, 230369554062848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30369554062848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64212042166272).

30369554062848 is an abundant number, since it is smaller than the sum of its proper divisors (98054530269696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30369554062848 is a wasteful number, since it uses less digits than its factorization.

30369554062848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 30369554062848 in words is "thirty trillion, three hundred sixty-nine billion, five hundred fifty-four million, sixty-two thousand, eight hundred forty-eight".